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Finding the Fourth Proportional to 981.06, 1,352.34 and 732

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Solution

The fourth proportional to 981.06, 1,352.34 and 732 is: 1,009.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.06 : 1,352.34 = 732 : x
  2. Step 2: Convert to fraction form
    981.06/1,352.34 = 732/x
  3. Step 3: Cross multiply
    981.06x = 1,352.34 × 732
  4. Step 4: Simplify right side
    981.06x = 989,912.88
  5. Step 5: Solve for x
    x = 989,912.88/981.06
  6. Step 6: Final answer
    x = 1,009.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.